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Finding the Fourth Proportional to 17,023, 25,534.32 and 6,642.04

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Solution

The fourth proportional to 17,023, 25,534.32 and 6,642.04 is: 9,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023 : 25,534.32 = 6,642.04 : x
  2. Step 2: Convert to fraction form
    17,023/25,534.32 = 6,642.04/x
  3. Step 3: Cross multiply
    17,023x = 25,534.32 × 6,642.04
  4. Step 4: Simplify right side
    17,023x = 169,599,974.81
  5. Step 5: Solve for x
    x = 169,599,974.81/17,023
  6. Step 6: Final answer
    x = 9,962.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.